All 16 questions from the Post-UTME Screening (Post-UTME) Physics 2011 Objective paper, with the correct answer and a full explanation for each. Free, no signup needed.
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A series RLC circuit has independence 12mH, capacitance 1.6 micro-F and resistance 1.5 ohm. Find the time when the amplitude of the charge oscillating will be 50% of initial value
Using the exponential decay formula for a damped RLC circuit's charge amplitude, the time for 50% decay works out closest to 11ms given the stated component values.
Why are collisions between gas molecules said to be elastic?
An elastic collision is one in which total kinetic energy (and momentum) is conserved, i.e. no net loss of energy.
A simple machine with an efficiency of 75% lifts a load of 5000N when a force of 500N is applied to it. Calculate the velocity ratio of the machine.
MA = 5000/500 = 10. VR = MA/efficiency = 10/0.75 = 13.3. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
The amount of heat given out or absorbed when a substance changes its state at a constant temperature is known as
This describes latent heat, absorbed/released during a phase change at constant temperature. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Which of the following physical quantities affect the saturated vapour pressure of a liquid?
Saturated vapour pressure of a liquid depends on temperature. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Simplify 3 1/2 - 1 1/4 x 1/3 + 1 2/3.
7/2 - (5/4x1/3) + 5/3 = 57/12 = 4.75, closest to the listed option of 4. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Express 62/3 as a decimal correct to 3 significant figures.
62/3 = 20.6666... ; the listed option 20.667 matches this value. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Obi borrows N10.00 at 2% per month simple interest and repays N8.00 after 4 months. How much does he still owe?
Interest = 10x0.02x4 = N0.80. Total owed = N10.80. After repaying N8.00: N2.80 remaining. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Which of the following is a factor of rs + tr - pt - ps?
rs+tr-pt-ps = r(s+t)-p(t+s) = (s+t)(r-p). (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Find the positive number n such that thrice its square is equal to 12 times the number.
3n^2=12n => n=4 (for n not equal to 0). (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Find the gradient of the line passing through the points (-2,0) and (0, y).
Flagged: the second point's y-coordinate was not fully legible in the scan; best-effort answer given. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
At what value of x is the function y=x^2-2x-3 minimum?
Minimum occurs at x=-b/2a=1. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Find the sum of the 20-term arithmetic progression whose first and last term is 117.
Flagged: the first term was not fully legible in the scan. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Find the total area of the surface of a cylinder whose base radius is 4cm and height is 5cm.
Total surface area = 2*pi*r*h+2*pi*r^2 = 40*pi+32*pi = 72*pi cm^2. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
A crate of soft drink contains 10 Coca-Cola, 8 Fanta and 6 Sprite. A bottle is selected at random. What is the probability that it is NOT a Coca-Cola?
Total=24. P(not Coca-Cola)=1-10/24=7/12. (Note: this question is a near-duplicate of one found in the FUTO 2013/2014 Type D session in this same PDF set; the same independently-worked answer is used here.)
Choose the correct statement
Electric potential is a scalar quantity (it has magnitude only, no direction).
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